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defon
3 years ago
7

The ferry operated between City A and city B. The ferry can make a trip I about 1.5 hours at 58 mph how far apart are the cities

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
If you multiply 58 by 1.5 you get 87, so the cities are 87 miles apart.
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Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play.
Flauer [41]

Answer:the width of plywood = 6.25 feet wide or  6 1/4 feet wide

Step-by-step explanation:

Step 1

Area of  a rectangular plywood = length x width

Area of Ist Plywood= 7 x w

Area of 2nd  Plywood= 61/2 x w=6.5 xw

But Total Arae of trhe two Plywoods are = 84 3/8 square feet.

Therefore Our equation to solve the problem becomes

Area of Ist Plywood + Area of 2nd  Plywood =84 3/8 square feet.

7w + 6.5w =  84 3/8

13.5w= 84 3/8

w =  84 3/8/13.5

675/8  / 13.5

w=6.25

Therefore the width of plywood = 6.25 feet wide or 6 1/4 feet.

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3 years ago
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**What you do to one side you HAVE TO do it to the other 2**
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8 0
2 years ago
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

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b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

__

c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

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The actual building is 780 inches
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